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From 6 different novels and 5 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is :

A

less than 500

B

at least 500 but less than 750

C

at least 750 but less than 1000

D

at least 1000.

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
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  3. In the binomial expansion of (a -b)^n, nge5, the sum of the 5th and 6t...

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  5. The number of 7-digit integers, with sum of the digits equal to 10 and...

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  7. From 6 different novels and 5 different dictionaries, 4 novels and 1 d...

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  9. There are 10 points in a plane, out of these 6 are collinear. If N is ...

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  13. A committee of 12 is to be formed from nine women and eight men. In ho...

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  14. A committee of 12 is to be formed from nine women and eight men. In ho...

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  17. Give that : C1+2C2 x+3C3 x^2+.....+2n. C(2n). x^(2n-1)=2n(1+x)^(2n-1)...

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  18. Prove that underset(r=1)overset(k)sum(-3)^(r-1) .^(3n)C(2r-1) = 0 , wh...

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  19. If a(0),a(1),a(2) ,…, a(2n) are the coefficients in the expansion ...

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  20. Find the value of x for which the sixth term of : (sqrt(2^(log(10-3^x)...

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